Functional Equations Connected With The Collatz Problem

Author:

Berg Lothar,Meinardus Günter

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Mathematics (miscellaneous)

Reference11 articles.

1. G. E. Andrews, The Theory of Partitions. Addison-Wesley Publ. Co. Reading, Mass., 1976.

2. C. BÖhme and G. Sontacchi, On the existence of cycles of given length in integer sequences like xn+1 = x n/2 if xn even, and xn+1 = 3xn+1 otherwise. Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur.64 (1978) 260–264.

3. L. Collatz, About the motivation of the (3n + 1)-problem (Chinese). J. Qufu Norm. Univ., Nat. Sci. 3 (1986) 9–11.

4. R. E. Crandall, On the “ 3x + 1” problem. Math. Comp. 32 (1978) 1281–1292.

5. W. B. Ford, Studies on Divergent Series and Summability and The Asymptotic Developments of Functions Defined by Maclaurin Series. Clesea Publ. Comp. New York, N. Y., 1960, p. 205–211.

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4. An Analytic Approach to the Collatz $$3n+1$$ 3 n + 1 Problem for Negative Start Values;Computational Methods and Function Theory;2013-06-25

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